{"title":"具有多阶段服务、有限容量和故障的马尔可夫队列","authors":"R. Sethi, Richa Sharma, Amita Bhagat","doi":"10.1109/ICSRS.2017.8272807","DOIUrl":null,"url":null,"abstract":"The present investigation deals with transient analysis of Markovian queue with multi stage service, finite capacity and breakdowns. The arrival of customers in system follows Poisson process and service of customers follows exponential distribution. The broken server is immediately sent for repairing so that it becomes as good as earlier. Runge-Kutta method has been used to study the transient analysis of finite Markovian queueing model. Various performance measures like waiting time, queue length, throughput, and service state probabilities have also been obtained.","PeriodicalId":161789,"journal":{"name":"2017 2nd International Conference on System Reliability and Safety (ICSRS)","volume":"488 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Markovian queue with multi stage service, finite capacity and breakdowns\",\"authors\":\"R. Sethi, Richa Sharma, Amita Bhagat\",\"doi\":\"10.1109/ICSRS.2017.8272807\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present investigation deals with transient analysis of Markovian queue with multi stage service, finite capacity and breakdowns. The arrival of customers in system follows Poisson process and service of customers follows exponential distribution. The broken server is immediately sent for repairing so that it becomes as good as earlier. Runge-Kutta method has been used to study the transient analysis of finite Markovian queueing model. Various performance measures like waiting time, queue length, throughput, and service state probabilities have also been obtained.\",\"PeriodicalId\":161789,\"journal\":{\"name\":\"2017 2nd International Conference on System Reliability and Safety (ICSRS)\",\"volume\":\"488 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 2nd International Conference on System Reliability and Safety (ICSRS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSRS.2017.8272807\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 2nd International Conference on System Reliability and Safety (ICSRS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSRS.2017.8272807","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Markovian queue with multi stage service, finite capacity and breakdowns
The present investigation deals with transient analysis of Markovian queue with multi stage service, finite capacity and breakdowns. The arrival of customers in system follows Poisson process and service of customers follows exponential distribution. The broken server is immediately sent for repairing so that it becomes as good as earlier. Runge-Kutta method has been used to study the transient analysis of finite Markovian queueing model. Various performance measures like waiting time, queue length, throughput, and service state probabilities have also been obtained.
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